1045255504400 has 240 divisors, whose sum is σ = 2675106639360. Its totient is φ = 391362048000.

The previous prime is 1045255504387. The next prime is 1045255504429. The reversal of 1045255504400 is 44055525401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473608097 + ... + 473610303.

It is an arithmetic number, because the mean of its divisors is an integer number (11146277664).

Almost surely, 2^{1045255504400} is an apocalyptic number.

1045255504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045255504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337553319680).

1045255504400 is an abundant number, since it is smaller than the sum of its proper divisors (1629851134960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1045255504400 is a wasteful number, since it uses less digits than its factorization.

1045255504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The spelling of 1045255504400 in words is "one trillion, forty-five billion, two hundred fifty-five million, five hundred four thousand, four hundred".